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Finding the Third Proportional to 14,744.39 and 32,080.78

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Solution

The third proportional to 14,744.39 and 32,080.78 is: 69,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.39 : 32,080.78 = 32,080.78 : x
  2. Step 2: Convert to fraction form
    14,744.39/32,080.78 = 32,080.78/x
  3. Step 3: Cross multiply
    14,744.39x = 32,080.78 × 32,080.78
  4. Step 4: Simplify right side
    14,744.39x = 1,029,176,525.61
  5. Step 5: Solve for x
    x = 1,029,176,525.61/14,744.39
  6. Step 6: Final answer
    x = 69,801.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.